The sooner you begin your education, <name>, the better for us all. There is little room for error, so listen closely.

The Burning Crystals - the green floating objects to the west of the Sunspire here - have long been used to power the isle's experimentations. The mana wyrms were their guardians, but the Scourge invasion of Quel'Thalas has driven them errant from our lack of magical control over them.

There is little choice but to thin their numbers for reclamation. Do this, then return to me.

You have successfully completed your first task; for that, you are to be congratulated. Such success gives me faith that you will turn out better than those young blood elves who fail to heed the lessons of their masters. Continued success will be rewarded - not only with knowledge, but also with tangible rewards as well.

Your work here, however, is not finished. There is much more to learn, my young friend...

Killing the six Mana Wyrms and turning in this quest will give you exactly the experience needed to reach the second level.
The Mana Wyrms are quite plentiful and will most likely be the first creature you encounter near Magistrix Erona, they are not aggressive and will not attack you until you attack them.